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Quantum thermalization via percolation (1406.6872v2)
Published 26 Jun 2014 in cond-mat.quant-gas, cond-mat.mes-hall, cond-mat.stat-mech, and quant-ph
Abstract: We highlight a dynamical anomaly in which the rate of relaxation towards thermal equilibrium in a bi-partite quantum system violates the standard linear-response (Kubo) formulation, even when the underlying dynamics is highly chaotic. This anomaly originates from an $\hbar$-dependent sparsity of the underlying quantum network of transitions. Using a minimal bi-partite Bose-Hubbard model as an example, we find that the relaxation rate acquires an anomalous $\hbar$ dependence that reflects percolation-like dynamics in energy space.
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